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Finding the Third Proportional to 152,112 and 236,465

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Solution

The third proportional to 152,112 and 236,465 is: 367,595.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,112 : 236,465 = 236,465 : x
  2. Step 2: Convert to fraction form
    152,112/236,465 = 236,465/x
  3. Step 3: Cross multiply
    152,112x = 236,465 × 236,465
  4. Step 4: Simplify right side
    152,112x = 55,915,696,225
  5. Step 5: Solve for x
    x = 55,915,696,225/152,112
  6. Step 6: Final answer
    x = 367,595.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.